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Finding the Third Proportional to 515,424 and 1,109,498

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Solution

The third proportional to 515,424 and 1,109,498 is: 2,388,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,424 : 1,109,498 = 1,109,498 : x
  2. Step 2: Convert to fraction form
    515,424/1,109,498 = 1,109,498/x
  3. Step 3: Cross multiply
    515,424x = 1,109,498 × 1,109,498
  4. Step 4: Simplify right side
    515,424x = 1,230,985,812,004
  5. Step 5: Solve for x
    x = 1,230,985,812,004/515,424
  6. Step 6: Final answer
    x = 2,388,297.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.